Westlake Math Colloquium第三十三期 | Ziwen Zhu: Equivariant K-stability and cubic hypersurfaces of cyclic cover type

2023-03-13 13:49:21

时间2023年3月16日(周四)15:30-16:30

地点:云谷校区E4-201


主持人: 理论科学研究院 魏传豪博士

主讲人同济大学 朱子文博士

讲座主题Equivariant K-stability and cubic hypersurfaces of cyclic cover type

讲座摘要: 

For a log Fano pair equipped with a finite group action, we can consider its quotient under this action, which is again a log Fano pair by a suitable choice of the boundary divisors involving the branch locus. Therefore, it is an interesting question how to compare K-stability of a Fano variety and its finite group quotient. In this talk, I will answer this question as a byproduct along the proof showing that equivariant K-(poly/semi)stability under finite group action implies the K-(poly/semi)stability. I will also talk about an application toward the study of K-stability and K-moduli of cubic hypersurfaces.